DIFFERENCE METHOD FOR PARTIAL DIFFERENTIAL EQUATIONS Part I.

抄録

ALL the derivations in this article are due to the exclusive use of the modified Bessel interpolation formula for the function φ(x, y). Similar calculation may be performed by interpolation formulas of other types, including mixed ones. In this regard it is noted that Collat-Hidaka's method of differentiation affords the same results as those derived from the interpolation formula of Stirling type.
Three-dimensional problems may also be treated. The work would require a considerable amount of efforts, even when systematic procedure of calculation is adopted.